Extensions 1→N→G→Q→1 with N=D₄⋊D₁₄ and Q=C₂

Direct product G=N×Q with N=D₄⋊D₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊D₁₄		112		C2xD4:D14	448,1273

Semidirect products G=N:Q with N=D₄⋊D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₁₄⋊₁C₂ = D₄⋊₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	56	4+	D4:D14:1C2	448,356
D₄⋊D₁₄⋊₂C₂ = D₄.₁₀D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	4	D4:D14:2C2	448,361
D₄⋊D₁₄⋊₃C₂ = D₄.₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	4+	D4:D14:3C2	448,676
D₄⋊D₁₄⋊₄C₂ = M₄(2).D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	8+	D4:D14:4C2	448,733
D₄⋊D₁₄⋊₅C₂ = 2₊¹⁺⁴⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	56	8+	D4:D14:5C2	448,775
D₄⋊D₁₄⋊₆C₂ = 2_-¹⁺⁴⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	8+	D4:D14:6C2	448,779
D₄⋊D₁₄⋊₇C₂ = D₈⋊₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	4+	D4:D14:7C2	448,1222
D₄⋊D₁₄⋊₈C₂ = D₈⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	4	D4:D14:8C2	448,1223
D₄⋊D₁₄⋊₉C₂ = D₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	56	8+	D4:D14:9C2	448,1225
D₄⋊D₁₄⋊₁₀C₂ = D₅₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	8+	D4:D14:10C2	448,1230
D₄⋊D₁₄⋊₁₁C₂ = D₂₈.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	8+	D4:D14:11C2	448,1288
D₄⋊D₁₄⋊₁₂C₂ = D₂₈.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	8+	D4:D14:12C2	448,1290
D₄⋊D₁₄⋊₁₃C₂ = C₂₈.C₂⁴	φ: trivial image	112	4	D4:D14:13C2	448,1275

Non-split extensions G=N.Q with N=D₄⋊D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₁₄.₁C₂ = D₄.₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	4	D4:D14.1C2	448,675
D₄⋊D₁₄.₂C₂ = M₄(2).₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₄	112	8+	D4:D14.2C2	448,737

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